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Finding the Third Proportional to 47,046 and 62,719

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Solution

The third proportional to 47,046 and 62,719 is: 83,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046 : 62,719 = 62,719 : x
  2. Step 2: Convert to fraction form
    47,046/62,719 = 62,719/x
  3. Step 3: Cross multiply
    47,046x = 62,719 × 62,719
  4. Step 4: Simplify right side
    47,046x = 3,933,672,961
  5. Step 5: Solve for x
    x = 3,933,672,961/47,046
  6. Step 6: Final answer
    x = 83,613.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.